Which of the following set S is a spans R": a. S = {(2, 1), (2, 1)} b. S = {(1, 2, 3), (3, 2, 1)} c. S = {(1, 1), (0, 1), (2, 3)} d. S = {(3, 1), (–2, -1)} %3D

Q: consider the following sets: U = {-5,-4,-3, -2,-1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4,…

A: We have to find

Q: Let R = {a}, S = {x, y}, and T = {p, q, r}. Find each of the following sets.a. R X (S X T)b. (R X S)…

A: Cartesian product of set A and B is defined as:

Q: Given that U = {1,2, 3, ..., 11, 12, 13} A = {1, 2, 7, 12} В 3 3,5, 6, 8, 12, 13} С 3 {1,5, 7, 8,…

A: Explanation: Region I:   2 Region II:  Null Region III:  3,6 Region IV:  1,7 Region V:  12 Region…

Q: If S is a subset of T , then u (T) sp" (S)

A: It is Always True

Q: If S is a subset of T , then u* ( T) sµ* (S).

A:

Q: Let C C R³ be the directed line segment from (1, 1, 1) to (3, 2,0). Evaluate

A:

Q: The angle of the circular sector of the second and third class respectively for the following data…

A: Total angle of a circle is 360°

Q: Which of the following set S is a spans R"? a. S = {(2, 1), (2, 1)} b. S = {(1,2, 3), (3, 2, 1)} c.…

A:

Q: Prove (t, to) = A(t)Þ(t, t,)

A: The variables of function t and to are independent variables.

Q: A plane P passes through the points P(3, –1, –4), E(2,7, –1), and G(-1,6, 1)

A: In this question, we have given three points P(3,-1,-4) E(2,7,-1) and G(-1,6,1) By using these…

Q: Let X = {x, y, z} and B={{x,y}, {x, y, z}} and C({x,y})= {x}. Which of the following are consistent…

A: Let X = {x, y, z) and B={{x, y}, {x, y, z}} and C({x, y})= {x}. Which of the following are…

Q: QUESTION 7 Use the following data for question 3 and 4. Here "U" represent the universal set. Let…

A:

Q: Fix n ≥ 1 and let A be a non-empty closed subset of Rn such that if x, y ∈ A then (x+y)/2∈ A. Show…

A: The given details: Fix and let A be a non-empty closed subset of Rn such that, Show that A is path…

Q: Given sets X and Y. For x EX and for y E Y, we form the Cartesian produc X x Y := {(x, y) : x E X, y…

A: Given that: X={-1, 1}Y={-2, 0, 2}

Q: 2) What rule maps ABC onto A'B'C'? A. (x,y) → (x+4, y = 4) B. (x,y) → (x-3, y + 5) 4 (2-0)-²00) AY 5…

A:

Q: Let U, A, B, and C be defined as shown below. U= [ a, b, c, d, e, f, g, h, i, j } A = { d, e, g, h,…

A:

Q: find the'mters ection d Exe sy,z]= [a,0,31++ 4,-2,178 [+sy,z]=[6,-12,--11]+5 [1,2,4]?

A:

Q: Find the Cartesian Product of the given sets:  With A = {c, d, f} and B = { w, x}, find B x A.

A: A = {c, d, f} and B = {w, x}, B x A = { (w,c), (w,d), (w,f), (x,c), (x,d), (x,f) }

Q: 4. Find the following sets, which are subsets of R2. (a) U {a} x [0,1], (b) N {a} × [0,1], aeR aER…

A: Note: According to Bartleby guidelines; for more than three questions asked, only the first three…

Q: 1. Reflect an object defined by the points (1,2), (3,5), (7,8) and (4,4) about an arbitrary axis…

A: 1) Given : A1,2, B3,5, C7,8, D4,4 .

Q: ONLY parts G, H, and I please show all work

A: g)  s(t)  =  4 sinπx2Differentiating, we get Velocity function as s'(t)  =  2π cosπx2…

Q: Exercise 1. Prove that for sets A, B,C we have C \(AUB) = (C\ A) N (C \ B).

A: We have to show that for sets A, B, C   C ∖(A∪B)=(C∖A)∩(C∖B).

Q: Which of the following sets spans R? Select one: O a. s = {(1,2, 1), (0,0, 1), (0, 3, 4)} %3D O b. s…

A: In the question it is asked to find which sets span R3.

Q: Let U={a,b,c,d,e,f,g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A UB…

A: To evaluate the given set operations.

Q: This is a prism. Which of the following is a net for a prism?

A:

Q: Find the union of the sets. {e, m, p, t, y}∪∅

A: we have to find the union of the sets. e,m,p,t,y∪∅

Q: A 12 7 22 11 27 17 28 23 8 В E 1 18 13 16 6 31 29 /24 26 /21 19/ 20 30 32 15 10 25 14 4 C 3.

A:

Q: Let A, and Az be two subsets of R. Show that m. (A, x A2) S m*(A,) m*(A2).

A: To prove: m*(A1 * A2) ≤ m*(A1) m*(A2)

Q: Use Venn Diagrams to find A \ B and B \ A where A = {1,2,3} and B = {2,3,4}

A:

Q: Let Á = ry?a, + x³yzay, Evaluate A. dl along the path y = x2 from a(0,0,2) to b(3,9,2) Select one: O…

A: We will find out the required value.

Q: If S is a subset of T, then u*(T) su* (S)

A:

Q: 1. For n 2 2, let A = [a E M,(C). Suppose A is diagonally dominant. Show that if af # 0 for all i,…

A: We will use the basic knowledge of matrices and diagonal dominance to answer this question in…

Q: Consider following five sets: 1. { , } { } II. { } II. IV. { , , } V. { , } Find all linearly…

A:

Q: Consider the following subset S C R 1 -3 S = -2 -10 8 Is span(S) = R*? Explain your reasoning and…

A: See the attachment

Q: QUESTION 18 Let U = {q, r, s, t, u, v, w. x, y, z} A = {q, s, u, w, y} B = (q, s, y, z} C = {v, w,…

A: A∩B∩C={q,s,u,w,y}∩{q,s,y,z}∩{v,w,x,y,z}={y}

Q: Given the following sets X= {a,b,c} Y= {a} Z= {a,d} In the universe U= {a,b,c,d,e}, what is (X’…

A: Sample Space (SS): The total number of possible outcomes of an event is called Sample Space and it…

Q: Let U = {m,a,t,h,e,w,d,i,n}   X = { e,w,m,a,t}              y = {e,w,d,i,n}            Z= {h,e,w}…

A: U = {m, a, t, h, e, w, d, i, n}   U= Universal set X = {e, w, m, a, t}              Y = {e, w, d, i,…

Q: SAT alex casey hunter drew blair jade erin glen francis ira From the above Venn diagram, what is the…

A: Using set theory

Q: find the subset of (E, B,T,*)

A:

Q: Let S = {a, b, c, d, e, f} with P(b) = 0.13, P(c) = 0.19, P(d) = 0.3, P(e) = 0.12, and P(f) = 0.15.…

A: P(a) = 1 - {P(b)+P(c)+P(d)+P(e)+P(f)} = 1 - (0.13+0.19+0.3+0.12+0.15) = 1 - 0.89 = 0.11 So, P(a) =…

Q: Given the following sets { a, b, e } {a} {a, d} in the universe U = { a, b, c, d, e }, what is…

A:

Q: et §, ŋ, o be real numbers and consider ctors (1,5,§³); (1,ŋ,n³); (1,0,0²). Determine e conditions…

A:

Q: x E Keals

A:

Q: Refer to the Venn Diagram shown below. Find K' U L'. K 11 2 18 14 8 20 10 17 19 A {18, 4, 20} в) {2,…

A: From given Venn diagram we find K' U L'.

Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

A:

Q: Let U= {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; B = {q, s, y, z} and C = {v, w, x, y,…

A:

Q: Write the following sets by listing their elements between braces. 1. P({{a,b},{c}}) 2. P({1,2,3,4})…

A: Given

Q: Given U = {a,b,c,d,e,f,g,h,ij}, A = {b,d,f,hj} B = {e,f,g,h,ij} find the following sets. a.…

A: Here, the given sets are: U=1,b,c,d,e,f,g,h,i,jA={b,d,f,h,j}B={e,f,g,h,i,j}

Q: Consider a S = {x|x"=1} is S, equals to S?

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.